What is the Greatest Common Factor of 89446 and 89460?

Greatest common factor (GCF) of 89446 and 89460 is 14.

GCF(89446,89460) = 14

We will now calculate the prime factors of 89446 and 89460, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89446 and 89460.

How to find the GCF of 89446 and 89460?

We will first find the prime factorization of 89446 and 89460. After we will calculate the factors of 89446 and 89460 and find the biggest common factor number .

Step-1: Prime Factorization of 89446

Prime factors of 89446 are 2, 7, 6389. Prime factorization of 89446 in exponential form is:

89446 = 2¹ × 7¹ × 6389¹

Step-2: Prime Factorization of 89460

Prime factors of 89460 are 2, 3, 5, 7, 71. Prime factorization of 89460 in exponential form is:

89460 = 2² × 3² × 5¹ × 7¹ × 71¹

Step-3: Factors of 89446

List of positive integer factors of 89446 that divides 89446 without a remainder.

1, 2, 7, 14, 6389, 12778, 44723

Step-4: Factors of 89460

List of positive integer factors of 89460 that divides 89446 without a remainder.

1, 2, 3, 4, 5, 6, 7, 9, 10, 12, 14, 15, 18, 20, 21, 28, 30, 35, 36, 42, 45, 60, 63, 70, 71, 84, 90, 105, 126, 140, 142, 180, 210, 213, 252, 284, 315, 355, 420, 426, 497, 630, 639, 710, 852, 994, 1065, 1260, 1278, 1420, 1491, 1988, 2130, 2485, 2556, 2982, 3195, 4260, 4473, 4970, 5964, 6390, 7455, 8946, 9940, 12780, 14910, 17892, 22365, 29820, 44730

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89446 and 89460. The biggest common factor number is the GCF number.
So the greatest common factor 89446 and 89460 is 14.

Also check out the Least Common Multiple of 89446 and 89460